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* Note: This post contains 'preliminary valence parameter fitting results’, which was carried out with currently available QM data from 2nd generation training data sets.

Description

This post contains benchmark of preliminary valence parameter fitting (v1.2.0-preliminary).

Results of benchmarks for both the initial force field, pre-released force fields (v1.0.0, v1.1.0) and the re-fitted force field are provided here for performance comparison.

Fitting Data and Results

  • Fitting targets: 581 1-D torsion profiles; 2,974 optimized geometries; 278 vibrational frequencies

  • Input force field : same initial force field used in v1.1.0 fitting

  • The objective function decreased from 1.02809e+04 to 3.21676e+03 in 28 steps.

Benchmark Data

The benchmarks are performed with the first generation test sets:neighboring (primary) set , and diverse (full) set). Second generation test set generation is a WIP.

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The final objective function value(X2) from FB single point calculation gives a brief overview of the agreement between QM and MM. The lower X2 is, the better the force field reproduces QM structures and energetics.

X2 for neighboring (primary) set

X2 for diverse (full) set

Initial force field

1435

29,469

v1.0.0

948

20,672

v1.1.0

936

20,097

v1.2.0-preliminary

766

16,939

To provide more intuitive insights on the benchmark results, we aggregated the resulting data and made the following plots.

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To investigate the improved performance in reproducing QM optimized geometries, the weighted root-mean-square error (WRMSE) of each molecule, which is weighted root-mean-square deviation of internal coordinates of MM optimized geometry from QM optimized geometry was calculated and compared. ( Metrics for bond, angle, improper torsion are set to be 0.05 Angstrom, 8 degree and 20 degree respectively and torsion contributions were intentionally excluded.)

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Image Added

y values in the plots (Δ WRMSE) are the difference in the WRMSE between different v1.2.0-pre and v1.1.0; Negative y value indicates better reproduction in v1.2.0-pre compared to v1.1.0. The average change in WRMSE is -1.248, indicating that overall the v1.2.0-pre better performs in reproducing QM optimized geometry than v1.1.0.

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